Lab goal/question: To understand the different components that go into a penalty kick, and to find the distance the goalie can cover if he waits for the shot to be kicked.
Procedure:
1. Measure 12 yards away from the center of a goal. If not known find dimensions of a regulation goal.
2. Using cameras, record the kick and the goalie then upload the footage to Loggerpro.
3. Kick the ball towards the goal and calculate time and velocity until the ball crosses the goal line.
4. Find the momentum of the ball.
5. Find the force the goalie needs to block the shot.
6. Find the force of the goalie's jump with force probe.
7. Find the velocity and acceleration of the goalie with the graph by tracking the goalies most outstretched hand.
8. Compare the velocity of the ball and goalie to find the amount of time the goalie has to save the shot.
Data/Graphs/Calculations:
The goalie moves a total of 3.6576m = 12ft in 1.5s.
3.6576 / 1.5 = 2.4384
That makes his average velocity 2.4384m/s.
The ball moved 10.9728m = 12yd in 0.7s.
0.9728 / 0.7 = 15.6754
The average velocity of the ball is 15.6754m/s.
Matt, who weights 81.65kg, was able to exert a total of 1072N in his jump of 12 feet, which is equivalent to half the width of the goal.
momentum/impulse/force calculations for the soccer ball
momentum = m*v = .422kg * 15.6754 = 6.615kg/m/v
impulse = momentum = F*t
6.615 = F * 0.7s
F = 9.45N
According to the law of conservation of momentum, the goalie needs to apply 9.45N inorder to block the shot.
If the ball was kicked past 1.7069m to the left or right of the goalie (the goalies reach in .7 seconds) the ball would not be blocked by the goalie. We found this by multiplying the goalies velocity times .7 (2.44 * .7= 1.71m) . If the ball were to be kicked within the 1.7069m, the goalie would be able to save the kick. Conclusion/Reflection: To find the distance the goalie can cover if he waits for the ball to be kicked was a complex and difficult process. To find an accurate measurement we had to explore the many components that go into a penalty kick. We first had to find the dimensions of the goal as well as the distance of the penalty kick. Once we knew the dimensions of the goal we started setting up the penalty kick. Using Cameras we recorded how fast I (being the goalie) could jump 12 feet. (12 feet is half the distance of a goal). Next we recorded Thomas shooting a penalty shot, which is placed 12 yards away from the center of the goal. We uploaded the video onto loggerpro and found the components of the goalie diving and the ball that was shot. We found the all the information listed above. We also found the force of the jump the goalie has with a force probe and that information is also listed above. Knowing this information, we were able to come the conclusion that if Thomas kicked the ball 15.6754m/s and Matt waited for the ball to be kicked, Matt would only have a range of 1.7069m to his left or right to be able to save the ball. Some of the things that went wrong during our expirement was the fact that due to winter we could not find an actual goal. Instead we had to measure an imaginary goal. We also couldn't factor the change the wind played in the kicking of the balls.
Title: Soccer Penalty Kick
Lab goal/question: To understand the different components that go into a penalty kick, and to find the distance the goalie can cover if he waits for the shot to be kicked.
Procedure:
1. Measure 12 yards away from the center of a goal. If not known find dimensions of a regulation goal.
2. Using cameras, record the kick and the goalie then upload the footage to Loggerpro.
3. Kick the ball towards the goal and calculate time and velocity until the ball crosses the goal line.
4. Find the momentum of the ball.
5. Find the force the goalie needs to block the shot.
6. Find the force of the goalie's jump with force probe.
7. Find the velocity and acceleration of the goalie with the graph by tracking the goalies most outstretched hand.
8. Compare the velocity of the ball and goalie to find the amount of time the goalie has to save the shot.
Data/Graphs/Calculations:
The goalie moves a total of 3.6576m = 12ft in 1.5s.
3.6576 / 1.5 = 2.4384
That makes his average velocity 2.4384m/s.
The ball moved 10.9728m = 12yd in 0.7s.
0.9728 / 0.7 = 15.6754
The average velocity of the ball is 15.6754m/s.
Matt, who weights 81.65kg, was able to exert a total of 1072N in his jump of 12 feet, which is equivalent to half the width of the goal.
momentum/impulse/force calculations for the soccer ball
momentum = m*v = .422kg * 15.6754 = 6.615kg/m/v
impulse = momentum = F*t
6.615 = F * 0.7s
F = 9.45N
According to the law of conservation of momentum, the goalie needs to apply 9.45N inorder to block the shot.
If the ball was kicked past 1.7069m to the left or right of the goalie (the goalies reach in .7 seconds) the ball would not be blocked by the goalie. We found this by multiplying the goalies velocity times .7 (2.44 * .7= 1.71m) . If the ball were to be kicked within the 1.7069m, the goalie would be able to save the kick.
Conclusion/Reflection: To find the distance the goalie can cover if he waits for the ball to be kicked was a complex and difficult process. To find an accurate measurement we had to explore the many components that go into a penalty kick. We first had to find the dimensions of the goal as well as the distance of the penalty kick. Once we knew the dimensions of the goal we started setting up the penalty kick. Using Cameras we recorded how fast I (being the goalie) could jump 12 feet. (12 feet is half the distance of a goal). Next we recorded Thomas shooting a penalty shot, which is placed 12 yards away from the center of the goal. We uploaded the video onto loggerpro and found the components of the goalie diving and the ball that was shot. We found the all the information listed above. We also found the force of the jump the goalie has with a force probe and that information is also listed above. Knowing this information, we were able to come the conclusion that if Thomas kicked the ball 15.6754m/s and Matt waited for the ball to be kicked, Matt would only have a range of 1.7069m to his left or right to be able to save the ball. Some of the things that went wrong during our expirement was the fact that due to winter we could not find an actual goal. Instead we had to measure an imaginary goal. We also couldn't factor the change the wind played in the kicking of the balls.